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20122320000 = 2735483843
BaseRepresentation
bin10010101111011000…
…100011110010000000
31220221100200202202010
4102233120203302000
5312202303220000
613124415052520
71311435616656
oct225730436200
956840622663
1020122320000
118596585932
123a96b11140
131b88b34833
14d8c646dd6
157cb87dd50
hex4af623c80

20122320000 has 160 divisors (see below), whose sum is σ = 66791807280. Its totient is φ = 5365888000.

The previous prime is 20122319999. The next prime is 20122320041. The reversal of 20122320000 is 2322102.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 198079 + ... + 281921.

Almost surely, 220122320000 is an apocalyptic number.

20122320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33395903640).

20122320000 is an abundant number, since it is smaller than the sum of its proper divisors (46669487280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20122320000 is an frugal number, since it uses more digits than its factorization.

20122320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83880 (or 83853 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 20122320000 its reverse (2322102), we get a palindrome (20124642102).

The spelling of 20122320000 in words is "twenty billion, one hundred twenty-two million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 83843 120000 167686 240000 251529 335372 419215 503058 670744 838430 1006116 1257645 1341488 1676860 2012232 2096075 2515290 2682976 3353720 4024464 4192150 5030580 5365952 6288225 6707440 8048928 8384300 10061160 10480375 10731904 12576450 13414880 16097856 16768600 20122320 20960750 25152900 26829760 31441125 32195712 33537200 40244640 41921500 50305800 52401875 53659520 62882250 67074400 80489280 83843000 100611600 104803750 125764500 134148800 157205625 160978560 167686000 201223200 209607500 251529000 268297600 314411250 335372000 402446400 419215000 503058000 628822500 670744000 804892800 838430000 1006116000 1257645000 1341488000 1676860000 2012232000 2515290000 3353720000 4024464000 5030580000 6707440000 10061160000 20122320000